Nuprl Lemma : class-output-support-no_repeats
[Info,T:Type]. [es:EO+(Info)]. [bg:bag(E)].
(bag-no-repeats(E;class-output-support(es;bg))) supposing
(bag-no-repeats(E;bg) and
(e1,e2:E. (e2 
bg 
e1 bg (
(e1 <loc e2)))))
Proof not projected
Definitions occuring in Statement :
class-output-support: class-output-support(es;bg),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
uimplies: b supposing a,
uall: [x:A]. B[x],
all: x:A. B[x],
not: A,
implies: P Q,
universe: Type,
bag-member: x bs,
bag-no-repeats: bag-no-repeats(T;bs),
bag: bag(T)
Definitions :
so_lambda: 
x.t[x],
prop: 
,
member: t T,
implies: P Q,
cand: A c
B,
bag-map: bag-map(f;bs),
bag-union: bag-union(bbs),
rev_implies: P 
Q,
iff: P Q,
subtype: S 
T,
true: True,
and: P Q,
exists: 
x:A. B[x],
squash: T,
bag-combine: 
xbs.f[x],
class-output-support: class-output-support(es;bg),
bag-no-repeats: bag-no-repeats(T;bs),
all: x:A. B[x],
bag: bag(T),
false: False,
lelt: i 
j < k,
le: A B,
top: Top,
int_seg: {i..j
},
not: A,
nat: 
,
or: P 
Q,
Id: Id,
es-locl: (e <loc e'),
bag-member: x bs,
so_apply: x[s],
uall: [x:A]. B[x],
sq_stable: SqStable(P),
uimplies: b supposing a,
uiff: uiff(P;Q),
guard: {T},
sq_type: SQType(T),
no_repeats: no_repeats(T;l)
Lemmas :
event-ordering+_wf,
bag_wf,
es-locl_wf,
not_wf,
bag-member_wf,
all_wf,
event-ordering+_inc,
es-E_wf,
bag-no-repeats_wf,
no_repeats_wf,
bag_qinc,
map_wf,
concat_wf,
true_wf,
squash_wf,
es-le_wf,
es-le-before_wf2,
bag-combine_wf,
sq_stable__bag-no-repeats,
equal_wf,
int_seg_wf,
l_member_wf,
es-le-before_wf,
select_wf,
es-loc_wf,
Id_wf,
lelt_wf,
length_wf,
select-map,
top_wf,
length-map-sq,
no_repeats_concat,
es-le-before-no_repeats,
es-le-loc,
member-es-le-before,
and_wf,
le_wf,
es-causl-total,
atom2_subtype_base,
subtype_base_sq,
select_member
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[bg:bag(E)].
(bag-no-repeats(E;class-output-support(es;bg))) supposing
(bag-no-repeats(E;bg) and
(\mforall{}e1,e2:E. (e2 \mdownarrow{}\mmember{} bg {}\mRightarrow{} e1 \mdownarrow{}\mmember{} bg {}\mRightarrow{} (\mneg{}(e1 <loc e2)))))
Date html generated:
2012_01_23-PM-12_22_18
Last ObjectModification:
2011_12_13-PM-01_27_53
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